The variety of commutative additively and multiplicatively idempotent semirings

被引：3
|
作者：
Chajda, Ivan [1 ]
Laenger, Helmut [2 ]
机构：
[1] Palacky Univ, Fac Sci, Dept Algebra & Geometry, 17 Listopadu 12, Olomouc 77146, Czech Republic
[2] TU Wien, Inst Discrete Math & Geometry, Fac Math & Geoinformat, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria
来源：
SEMIGROUP FORUM | 2018年 / 96卷 / 02期
基金：
奥地利科学基金会;
关键词：
Semiring; Commutative; Additively idempotent; Multiplicatively idempotent; Variety; Locally finite; Residually large; Word problem;
D O I：
10.1007/s00233-017-9905-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The variety of commutative additively and multiplicatively idempotent semirings is studied. We prove that is generated by a single subdirectly irreducible three-element semiring and it has a canonical form for its terms. Hence, is locally finite despite the fact that it is residually large. The word problem in is solvable.
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页码：409 / 415
页数：7
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